Table of Links I. Introduction I. Introduction II. Maximum Entropy Tomography II. Maximum Entropy Tomography A. Ment B. Ment-Flow A. Ment A. Ment B. Ment-Flow B. Ment-Flow III. Numerical Experiments III. Numerical Experiments A. 2D reconstructions from 1D projections B. 6D reconstructions from 1D projections A. 2D reconstructions from 1D projections A. 2D reconstructions from 1D projections B. 6D reconstructions from 1D projections B. 6D reconstructions from 1D projections IV. Conclusion and Extensions IV. Conclusion and Extensions V. Acknowledgments and References V. Acknowledgments and References V. ACKNOWLEDGEMENTS We are grateful to Ryan Roussel (SLAC National Accelerator Laboratory), Juan Pablo Gonzalez-Aguilera (University of Chicago), and Auralee Edelen (SLAC National Accelerator Laboratory) for discussions that seeded the idea for this work and for sharing their differentiable kernel density estimation code. 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